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Simplifying 5(2x + 9) = 6(2x + 13) Reorder the terms: 5(9 + 2x) = 6(2x + 13) (9 * 5 + 2x * 5) = 6(2x + 13) (45 + 10x) = 6(2x + 13) Reorder the terms: 45 + 10x = 6(13 + 2x) 45 + 10x = (13 * 6 + 2x * 6) 45 + 10x = (78 + 12x) Solving 45 + 10x = 78 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 10x + -12x = 78 + 12x + -12x Combine like terms: 10x + -12x = -2x 45 + -2x = 78 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -2x = 78 + 0 45 + -2x = 78 Add '-45' to each side of the equation. 45 + -45 + -2x = 78 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 78 + -45 -2x = 78 + -45 Combine like terms: 78 + -45 = 33 -2x = 33 Divide each side by '-2'. x = -16.5 Simplifying x = -16.5
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